Ok, how would it be done? I'm not the administrator; I'm making a page for the admin and I had an idea to embed a forum/category list in the page, so need to know if and how it can be done.
To get any support at this site you need to be a licensed member. If you don't own the license you can have the license owner add your forum name to the list @ https://xenforo.com/customers/forum-users and then support questions can be asked in the appropriate questions.
In the spirit of it being a discussion I let you know that it is possible (not knowing if you are licensed, are trying the demo etc..) but any specifics beyond that belong in the development/customizations discussions section and as a matter of rule for xenforo.com support can not be given in this section.